Chatelin, Francoise Spectral approximation of linear operators. (English) Zbl 0517.65036 Computer Science and Applied Mathematics. New York - London etc.: Academic Press. XIX, 458 p. $ 69.50 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 5 ReviewsCited in 301 Documents MSC: 65J10 Numerical solutions to equations with linear operators 65-02 Research exposition (monographs, survey articles) pertaining to numerical analysis 65F15 Numerical computation of eigenvalues and eigenvectors of matrices 65R20 Numerical methods for integral equations 47-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operator theory 47A10 Spectrum, resolvent 47A55 Perturbation theory of linear operators 15A18 Eigenvalues, singular values, and eigenvectors 45B05 Fredholm integral equations 45C05 Eigenvalue problems for integral equations Keywords:eigenvalue problem; operators with a discrete spectrum; operator convergence; spectral approximation of non-selfadjoint operators; perturbation theory; error bounds; iterative refinement; projection methods; spectral projections; finite-element method; collocation method; Galerkin method; convergence rate; numerical results Citations:Zbl 0484.46003; Zbl 0194.179 × Cite Format Result Cite Review PDF